The value of `(3.157xx4126xx3.198)/(63.972xx2835.121)` is closest to

Options

A. `0.002`
B. `0.02`
C. `0.2`
D. 2

Answer

To solve the problem \((3.157 \times 4126 \times 3.198) / (63.972 \times 2835.121)\), we will approximate the values to simplify the calculations.

### Step-by-Step Solution:

1. **Approximate the Values:**
- We can approximate \(3.157\) to \(3\).
- We can also approximate \(3.198\) to \(3\).
- Therefore, \(3.157 \times 3.198 \approx 3 \times 3 = 9\).

2. **Approximate the Denominator:**
- We can approximate \(63.972\) to \(65\) (or \(60\) for easier calculations).
- We can keep \(2835.121\) as \(2835\).
- Thus, \(63.972 \times 2835.121 \approx 65 \times 2835\).

3. **Calculate the Denominator:**
- To simplify, we can calculate \(65 \times 2835\).
- \(65 \times 2835\) can be approximated as follows:
- \(65 \times 2835 \approx 65 \times 2800 = 182000\) (since \(2835\) is close to \(2800\)).

4. **Calculate the Numerator:**
- Now we need to calculate \(4126\) (we will keep it as is for now).
- So, the numerator becomes \(9 \times 4126\).

5. **Calculate \(9 \times 4126\):**
- \(9 \times 4126 \approx 37000\) (since \(4126\) is close to \(4100\)).

6. **Final Calculation:**
- Now we have:
\[ \frac{9 \times 4126}{65 \times 2835} \approx \frac{37000}{182000} \]
- Simplifying this gives:
\[ \frac{37000}{182000} = \frac{37}{182} \approx 0.2 \]

### Conclusion:
The value of \((3.157 \times 4126 \times 3.198) / (63.972 \times 2835.121)\) is closest to \(0.2\).